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Finding the Third Proportional to 12,303.56 and 17,954.16

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Solution

The third proportional to 12,303.56 and 17,954.16 is: 26,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.56 : 17,954.16 = 17,954.16 : x
  2. Step 2: Convert to fraction form
    12,303.56/17,954.16 = 17,954.16/x
  3. Step 3: Cross multiply
    12,303.56x = 17,954.16 × 17,954.16
  4. Step 4: Simplify right side
    12,303.56x = 322,351,726.65
  5. Step 5: Solve for x
    x = 322,351,726.65/12,303.56
  6. Step 6: Final answer
    x = 26,199.87

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.